Finding the Fourth Proportional to 1,616,478,842,786.40, 2,230,588,209,763.50 and 966,027,930,271.12
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Solution
The fourth proportional to 1,616,478,842,786.40, 2,230,588,209,763.50 and 966,027,930,271.12 is: 1,333,027,352,124.60
Step by Step Solution
- Step 1: Write the proportion equation
1,616,478,842,786.40 : 2,230,588,209,763.50 = 966,027,930,271.12 : x - Step 2: Convert to fraction form
1,616,478,842,786.40/2,230,588,209,763.50 = 966,027,930,271.12/x - Step 3: Cross multiply
1,616,478,842,786.40x = 2,230,588,209,763.50 × 966,027,930,271.12 - Step 4: Simplify right side
1,616,478,842,786.40x = 2,154,810,511,564,996,893,212,672 - Step 5: Solve for x
x = 2,154,810,511,564,996,893,212,672/1,616,478,842,786.40 - Step 6: Final answer
x = 1,333,027,352,124.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.